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Popular >

simplify (x-1/2 y)^2

Solution

simplify

(x - \frac{1}{2} y)^{2}

Solution

x^{2} - x y + \frac{y ^{2}}{4}

Solution steps

(x - \frac{1}{2} y)^{2}

\frac{1}{2} y = \frac{y}{2}

= (x - \frac{y}{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = x, b = \frac{y}{2}

= x^{2} - 2 x \frac{y}{2} + (\frac{y}{2})^{2}

Simplify

x^{2} - 2 x \frac{y}{2} + (\frac{y}{2})^{2} : x^{2} - x y + \frac{y ^{2}}{4}

= x^{2} - x y + \frac{y ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is (x-1/2 y)^2 ?
The solution to (x-1/2 y)^2 is x^2-xy+(y^2)/4